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Finding the Fourth Proportional to 2,214.29, 3,321.32 and 570.92

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Solution

The fourth proportional to 2,214.29, 3,321.32 and 570.92 is: 856.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,214.29 : 3,321.32 = 570.92 : x
  2. Step 2: Convert to fraction form
    2,214.29/3,321.32 = 570.92/x
  3. Step 3: Cross multiply
    2,214.29x = 3,321.32 × 570.92
  4. Step 4: Simplify right side
    2,214.29x = 1,896,208.01
  5. Step 5: Solve for x
    x = 1,896,208.01/2,214.29
  6. Step 6: Final answer
    x = 856.35

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.